3867252480 has 1296 divisors, whose sum is σ = 18320649984. Its totient is φ = 743178240.

The previous prime is 3867252479. The next prime is 3867252491. The reversal of 3867252480 is 842527683.

3867252480 is a `hidden beast` number, since 386 + 7 + 25 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124750065 + ... + 124750095.

It is an arithmetic number, because the mean of its divisors is an integer number (14136304).

Almost surely, 2^3867252480 is an apocalyptic number.

3867252480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160324992).

3867252480 is an abundant number, since it is smaller than the sum of its proper divisors (14453397504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3867252480 is a wasteful number, since it uses less digits than its factorization.

3867252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3867252480 is about 62187.2372758269. The cubic root of 3867252480 is about 1569.6428359783.

The spelling of 3867252480 in words is "three billion, eight hundred sixty-seven million, two hundred fifty-two thousand, four hundred eighty".